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Finding the Fourth Proportional to 417.50, 575.85 and 338.81

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Solution

The fourth proportional to 417.50, 575.85 and 338.81 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.50 : 575.85 = 338.81 : x
  2. Step 2: Convert to fraction form
    417.50/575.85 = 338.81/x
  3. Step 3: Cross multiply
    417.50x = 575.85 × 338.81
  4. Step 4: Simplify right side
    417.50x = 195,105.18
  5. Step 5: Solve for x
    x = 195,105.18/417.50
  6. Step 6: Final answer
    x = 467.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.